{"title":"Investigating of Conformal Window in the Litim–Sannino Model at 433 Order","authors":"A. Mukhaeva","doi":"10.1134/S1547477124700651","DOIUrl":null,"url":null,"abstract":"<p>We consider a four-dimensional quantum field theory with weakly interacting ultraviolet fixed points up to four loop order for gauge, three loop to Yukawa and quartic scalar beta functions. We compute them for a <span>\\(SU({{N}_{c}})\\)</span> gauge theory coupled to <span>\\({{N}_{f}}\\)</span> fundamental fermions and elementary scalars. Moreover, we found fixed point couplings, field and mass anomalous dimensions, and scaling exponents up to the first three non-trivial orders in a small Veneziano parameter. Further, we investigate the size of the conformal window.</p>","PeriodicalId":730,"journal":{"name":"Physics of Particles and Nuclei Letters","volume":"21 4","pages":"584 - 586"},"PeriodicalIF":0.4000,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics of Particles and Nuclei Letters","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1134/S1547477124700651","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, PARTICLES & FIELDS","Score":null,"Total":0}
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Abstract
We consider a four-dimensional quantum field theory with weakly interacting ultraviolet fixed points up to four loop order for gauge, three loop to Yukawa and quartic scalar beta functions. We compute them for a \(SU({{N}_{c}})\) gauge theory coupled to \({{N}_{f}}\) fundamental fermions and elementary scalars. Moreover, we found fixed point couplings, field and mass anomalous dimensions, and scaling exponents up to the first three non-trivial orders in a small Veneziano parameter. Further, we investigate the size of the conformal window.
期刊介绍：
The journal Physics of Particles and Nuclei Letters, brief name Particles and Nuclei Letters, publishes the articles with results of the original theoretical, experimental, scientific-technical, methodological and applied research. Subject matter of articles covers: theoretical physics, elementary particle physics, relativistic nuclear physics, nuclear physics and related problems in other branches of physics, neutron physics, condensed matter physics, physics and engineering at low temperatures, physics and engineering of accelerators, physical experimental instruments and methods, physical computation experiments, applied research in these branches of physics and radiology, ecology and nuclear medicine.
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